-3.2y+4.3=2.5y-4(5y+1)

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Solution for -3.2y+4.3=2.5y-4(5y+1) equation: 


Simplifying
-3.2y + 4.3 = 2.5y + -4(5y + 1)

Reorder the terms:
4.3 + -3.2y = 2.5y + -4(5y + 1)

Reorder the terms:
4.3 + -3.2y = 2.5y + -4(1 + 5y)
4.3 + -3.2y = 2.5y + (1 * -4 + 5y * -4)
4.3 + -3.2y = 2.5y + (-4 + -20y)

Reorder the terms:
4.3 + -3.2y = -4 + 2.5y + -20y

Combine like terms: 2.5y + -20y = -17.5y
4.3 + -3.2y = -4 + -17.5y

Solving
4.3 + -3.2y = -4 + -17.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '17.5y' to each side of the equation.
4.3 + -3.2y + 17.5y = -4 + -17.5y + 17.5y

Combine like terms: -3.2y + 17.5y = 14.3y
4.3 + 14.3y = -4 + -17.5y + 17.5y

Combine like terms: -17.5y + 17.5y = 0.0
4.3 + 14.3y = -4 + 0.0
4.3 + 14.3y = -4

Add '-4.3' to each side of the equation.
4.3 + -4.3 + 14.3y = -4 + -4.3

Combine like terms: 4.3 + -4.3 = 0.0
0.0 + 14.3y = -4 + -4.3
14.3y = -4 + -4.3

Combine like terms: -4 + -4.3 = -8.3
14.3y = -8.3

Divide each side by '14.3'.
y = -0.5804195804

Simplifying
y = -0.5804195804

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